Results 21 to 30 of about 2,535,841 (289)
Discrete Laplacian in a half‐space with a periodic surface potential I: Resolvent expansions, scattering matrix, and wave operators [PDF]
Mathematische Nachrichten, 2019 We present a detailed study of the scattering system given by the Neumann Laplacian on the discrete half‐space perturbed by a periodic potential at the boundary.
H. S. Nguyen +2 more
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A resolvent-based prediction framework for incompressible turbulent channel flow with limited measurements [PDF]
Journal of Fluid Mechanics, 2023 A new resolvent-based method is developed to predict the space–time properties of the flow field. To overcome the deterioration of the prediction accuracy with increasing distance between the measurements and predictions in the resolvent-based estimation
Anjia Ying +3 more
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Matrix Representation of the Resolvent Operator in Square-integrable Basis and Physical Application [PDF]
Journal of Applied Mathematics and ComputationWe obtain simple formulas for the matrix elements of the resolvent operator (the Green's function) in any finite set of square integrable basis. These formulas are suitable for numerical computations whether the basis elements are orthogonal or not.
A. Alhaidari
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Low energy resolvent expansions in dimension two [PDF]
Communications of the American Mathematical Society, 2023 The behavior of the resolvent at low energies has implications for many kinds of asymptotics, including for the scattering matrix and phase, for the Dirichlet-to-Neumann map, and for wave evolution. In this paper we present a robust method, based in part
T. J. Christiansen, K. Datchev
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Factorization of Matrix Functions and the Resolvents of Certain Operators [PDF]
, 2003 The explicit factorization of matrix functions of the form $${A_\gamma }(b) = \left( {\begin{array}{*{20}{c}} e&b \\ {b*}&{b*b + \gamma e} \end{array}} \right),$$ where b is an n n matrix function, e represents the identity matrix, and γ is a complex constant, is studied.
Conceição, Ana C. +2 more
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Resolvent Approximations in L2-Norm for Elliptic Operators Acting in a Perforated Space
Современная математика: Фундаментальные направления, 2020 We study homogenization of a second-order elliptic differential operator Aε = - div a(x/ε)∇ acting in an ε-periodically perforated space, where ε is a small parameter. Coefficients of the operator Aε are measurable ε-periodic functions. The simplest case
S. E. Pastukhova
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Pseudo-hermitian random matrix models: General formalism
Nuclear Physics B, 2022 Pseudo-hermitian matrices are matrices hermitian with respect to an indefinite metric. They can be thought of as the truncation of pseudo-hermitian operators, defined over some Krein space, together with the associated metric, to a finite dimensional ...
Joshua Feinberg, Roman Riser
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Asymptotic properties for Volterra integro-dynamic systems
Electronic Journal of Qualitative Theory of Differential Equations, 2015 Using the resolvent matrix, a comparison principle and a useful equivalent system, we investigate the asymptotic behavior of linear Volterra integro-dynamic systems on time scales.
Safia Mirza +3 more
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Wronskians, dualities and FZZT-Cardy branes
Nuclear Physics B, 2016 The resolvent operator plays a central role in matrix models. For instance, with utilizing the loop equation, all of the perturbative amplitudes including correlators, the free-energy and those of instanton corrections can be obtained from the spectral ...
Chuan-Tsung Chan +3 more
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Logarithm of a Non-Singular Complex Matrix via the Dunford–Taylor Integral
Axioms, 2022 Using the Dunford–Taylor integral and a representation formula for the resolvent of a non-singular complex matrix, we find the logarithm of a non-singular complex matrix applying the Cauchy’s residue theorem if the matrix eigenvalues are known or a ...
Diego Caratelli, Paolo Emilio Ricci
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